The number of atoms N in a sample of a radioactive substance z decays with time...

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The number of atoms N₁ in a sample of a radioactive substance z decays with time according to the equation, N₂(t) = N₂(0)e-t where N₁ (0) is the number of atoms at time t = 0 and X, is a constant for substance x. The half-life of a substance is defined as the time taken for N₂ to reach half of its initial value. Substance a has a half-life of 1 hour. 36% of its decays emit an alpha particle and 64% of its decays emit a beta particle. Substance b has a half-life of 15 minutes. 56% of its decays emit an alpha particle and 44% of its decays emit a beta particle. If the total particle emission rate of substance z (where x = a,b) is XNz(t) and N₁₂ (0) = N₂(0), what time in minutes passes before the beta particle emission rates from the two samples are equal? [5] The number of atoms N₁ in a sample of a radioactive substance z decays with time according to the equation, N₂(t) = N₂(0)e-t where N₁ (0) is the number of atoms at time t = 0 and X, is a constant for substance x. The half-life of a substance is defined as the time taken for N₂ to reach half of its initial value. Substance a has a half-life of 1 hour. 36% of its decays emit an alpha particle and 64% of its decays emit a beta particle. Substance b has a half-life of 15 minutes. 56% of its decays emit an alpha particle and 44% of its decays emit a beta particle. If the total particle emission rate of substance z (where x = a,b) is XNz(t) and N₁₂ (0) = N₂(0), what time in minutes passes before the beta particle emission rates from the two samples are equal? [5]